{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4ee9c1ad-f814-423d-868d-9717837ca89a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fde5a006-4ab8-41a9-9abb-e770c3e977a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GenerateData(n):\n",
    "    \"\"\"\n",
    "    生成函数 y = sin(πx) 在区间[-1, 1]的等距采样数据，数据规模为n，并为因变量加上服从标准正态分布的噪声\n",
    "    \"\"\"\n",
    "    \n",
    "    x = np.arange(-1, 1, 2 / n)[:n]\n",
    "    \n",
    "    Y = np.sin(np.pi * x)\n",
    "    Y += np.random.normal(0, 1, n)\n",
    "    \n",
    "    return x.reshape((1, n)), Y.reshape((1, n))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1bcfc2d3-c447-4ed6-b092-9454663e4c52",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GenerateX(x, m):\n",
    "    \"\"\"\n",
    "        将自变量x扩展为(m + 1) * n的矩阵X，X的第i行表示x^i\n",
    "    \"\"\"\n",
    "    X = np.ones((1, x.shape[1]))\n",
    "    temp = x.copy()\n",
    "    \n",
    "    for _ in range(m):\n",
    "        X = np.vstack((temp, X))\n",
    "        temp *= x\n",
    "    \n",
    "    return X"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bf6935f1-a64c-4e9b-aee1-d48aeb731baa",
   "metadata": {},
   "outputs": [],
   "source": [
    "def AnalyticalSolution(X, Y, l=0.1):\n",
    "    \"\"\"\n",
    "        返回带正则项与不带正则项的解析解\n",
    "        不带正则项的解析解公式为Y(X^T)((XX^T)^(-1))\n",
    "        带正则项的解析解公式为Y(X^T)((XX^T - lambda * E)^(-1))\n",
    "    \"\"\"\n",
    "    temp = Y.dot(X.T)\n",
    "    W = temp.dot(np.linalg.inv(X.dot(X.T)))\n",
    "    W_rule = 2 * temp.dot(np.linalg.inv(2 * X.dot(X.T) - l * np.eye(X.shape[0])))\n",
    "    \n",
    "    return W, W_rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "667177fb-c041-47b6-9478-6f07aea26cd4",
   "metadata": {},
   "outputs": [],
   "source": [
    "def GD(X, Y, l=0.1, lr=0.01):\n",
    "    \"\"\"\n",
    "        梯度下降法\n",
    "    \"\"\"\n",
    "    #初始化参数\n",
    "    W = np.random.rand(1, X.shape[0])\n",
    "    W_rule = np.random.rand(1, X.shape[0])\n",
    "    #设置梯度变化量阈值\n",
    "    threshold = 1e-9\n",
    "    #设置退出循环的条件\n",
    "    continues = [True, True]\n",
    "    count = 0\n",
    "    \n",
    "    while (continues[0] or continues[1]) and count < 10000:\n",
    "        #计算不带正则项的梯度\n",
    "        dW = 2 * (W.dot(X) -Y).dot(X.T)\n",
    "        \n",
    "        #更新并设置不带正则项相关参数\n",
    "        if continues[0]:\n",
    "            #更新不带正则项的参数\n",
    "            W -= lr * dW / X.shape[1]\n",
    "            #更新循环退出条件\n",
    "            continues[0] = np.average(dW) > threshold\n",
    "        \n",
    "        #更新并设置带正则项相关参数\n",
    "        if continues[1]:\n",
    "            #计算梯度\n",
    "            dW_rule = dW + l * W_rule\n",
    "            #更新参数\n",
    "            W_rule -= lr * dW_rule / X.shape[1]\n",
    "            #设置循环退出条件\n",
    "            continues[1] = np.average(dW_rule) > threshold\n",
    "        \n",
    "        count += 1\n",
    "    \n",
    "    return W, W_rule"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "240b9d35-1181-40fa-a3d3-43df89f8161d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def CG(X, Y):\n",
    "    \"\"\"\n",
    "        共轭梯度法\n",
    "    \"\"\"\n",
    "    #初始化参数与设置阈值\n",
    "    W = np.zeros((X.shape[0], 1))\n",
    "    threshold = 1e-9\n",
    "    \n",
    "    A = X.dot(X.T)\n",
    "    b = X.dot(Y.T)\n",
    "    \n",
    "    d0 = np.zeros((X.shape[0], 1))\n",
    "    r0 = -b\n",
    "    \n",
    "    #迭代，当迭代次数大于等于n或残差大于阈值时退出\n",
    "    for _ in range(X.shape[1]):\n",
    "        #计算残差\n",
    "        r = A.dot(W) - b\n",
    "        #判断退出条件\n",
    "        if(r.T.dot(r) < threshold):\n",
    "            break\n",
    "        \n",
    "        #计算梯度方向\n",
    "        d = -r + r.T.dot(r) / r0.T.dot(r0) * d0\n",
    "        #计算步长\n",
    "        alpha = - d.T.dot(r) / d.T.dot(A).dot(d)\n",
    "        \n",
    "        #更新参数\n",
    "        W += alpha * d\n",
    "        d0 = d\n",
    "        r0 = r\n",
    "    \n",
    "    return W.T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "feedbda0-2998-4c88-8188-111f576fee39",
   "metadata": {},
   "outputs": [],
   "source": [
    "N = [10, 50, 100, 500]\n",
    "M = [2, 4, 7, 9]\n",
    "L = [0, 0.05, 0.1, 0.5, 1]\n",
    "lr = 0.01\n",
    "t = np.arange(-1, 1, 0.05).reshape((1, 40))\n",
    "plt.rcParams['font.sans-serif'] = ['SimHei']\n",
    "plt.rcParams['axes.unicode_minus'] = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6691778d-8356-4ab5-9e4d-b3f7ec4c6bdf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#数据量\n",
    "plt.figure(figsize=(12, 10))\n",
    "titles = ['解析解', '梯度下降', '共轭梯度']\n",
    "T = GenerateX(t, 4)\n",
    "W = [[None] * len(N)] * 3\n",
    "for i in range(len(N)):\n",
    "    x, Y = GenerateData(N[i])\n",
    "    X = GenerateX(x, 4)\n",
    "    W[0][i], _ = AnalyticalSolution(X, Y, l=0.05)\n",
    "    W[1][i], _ = GD(X, Y, l=0.05, lr=0.01)\n",
    "    W[2][i] = CG(X, Y)\n",
    "    \n",
    "for i in range(3):\n",
    "    ax = plt.subplot(2, 2, i + 1)\n",
    "    ax.set_title(titles[i])\n",
    "    ax.scatter(t, np.sin(np.pi * t))\n",
    "    for j in range(len(N)):\n",
    "        plt.plot(list(t)[0], list(W[i][j].dot(T))[0])\n",
    "    labels = ['n = ' + str(N[i]) for i in range(len(N))] + ['sin(πx)']\n",
    "    plt.legend(labels=labels)\n",
    "plt.savefig('数据量.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "16b28a20-cf0e-4044-8446-7f650b932ca9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x720 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#阶数\n",
    "plt.figure(figsize=(12, 10))\n",
    "titles = ['解析解', '梯度下降', '共轭梯度']\n",
    "W = [[None] * len(M)] * 3\n",
    "x, Y = GenerateData(10)\n",
    "for i in range(len(M)):\n",
    "    temp = [None] * 3\n",
    "    X = GenerateX(x, M[i])\n",
    "    T = GenerateX(t, M[i])\n",
    "    temp[0], _ = AnalyticalSolution(X, Y, l=0.05)\n",
    "    temp[1], _ = GD(X, Y, l=0.05, lr=0.01)\n",
    "    temp[2] = CG(X, Y)\n",
    "    for j in range(3):\n",
    "        W[j][i] = temp[j].dot(T)\n",
    "\n",
    "for i in range(3):\n",
    "    ax = plt.subplot(2, 2, i + 1)\n",
    "    ax.set_title(titles[i])\n",
    "    ax.scatter(x, Y)\n",
    "    for j in range(len(N)):\n",
    "        plt.plot(list(t)[0], list(W[i][j])[0])\n",
    "    labels = ['m = ' + str(M[i]) for i in range(len(M))] + ['样本点']\n",
    "    plt.legend(labels=labels)\n",
    "plt.savefig('阶数.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "ae59ab5a-e06a-43ce-8826-ef6ee27b2431",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 864x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#正则项系数\n",
    "plt.figure(figsize=(12, 5))\n",
    "titles = ['解析解', '梯度下降']\n",
    "x, Y = GenerateData(10)\n",
    "X = GenerateX(x, 7)\n",
    "T = GenerateX(t, 7)\n",
    "W = [[None] * len(L)] * 2\n",
    "for i in range(len(L)):\n",
    "    _, W[0][i] = AnalyticalSolution(X, Y, l=L[i])\n",
    "    _, W[1][i] = GD(X, Y, l=L[i], lr=0.01)\n",
    "for i in range(2):\n",
    "    ax = plt.subplot(1, 2, i + 1)\n",
    "    ax.set_title(titles[i])\n",
    "    ax.scatter(x, Y)\n",
    "    for j in range(len(L)):\n",
    "        plt.plot(list(t)[0], list(W[i][j].dot(T))[0])\n",
    "    labels = ['λ = ' + str(L[i]) for i in range(len(L))] + ['样本点']\n",
    "    plt.legend(labels=labels)\n",
    "plt.savefig('正则项系数.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "6d4fadad-f003-4e64-9590-8eecba6572a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#对比\n",
    "x, Y = GenerateData(50)\n",
    "X = GenerateX(x, 9)\n",
    "T = GenerateX(t, 9)\n",
    "W1, _ = AnalyticalSolution(X, Y, l=0.05)\n",
    "W2, _ = GD(X, Y, l=0.05, lr=0.01)\n",
    "W3 = CG(X, Y)\n",
    "plt.scatter(x, Y)\n",
    "plt.scatter(list(t)[0], list(W1.dot(T))[0], color='red')\n",
    "plt.plot(list(t)[0], list(W2.dot(T))[0])\n",
    "plt.plot(list(t)[0], list(W3.dot(T))[0])\n",
    "plt.legend(['梯度下降', '共轭梯度法', '样本点', '解析解'])\n",
    "plt.savefig('对比.png')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fcd8083b-ae6a-4437-b12d-6243b3114867",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
